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1.
梅峰太  左莉 《科技通报》2012,28(8):9-11
非线性科学已经被广泛应用于数学、物理、化学、经济等领域。许多非线性现象都可以用非线性偏微分方程来很好地描述,所以得到非线性偏微分方程的解具有重要的意义。在研究非线性科学的同时,出现了一些带有扰动项的非线性偏微分方程。为了研究这种扰动偏微分方程,一些以对称理论为基础的扰动方法相继产生。本文主要研究对称扰动理论在偏微分方程中的应用,寻求偏微分方程的近似对称约化和无穷级数解。  相似文献   

2.
求解非线性偏微分方程的方法很多不同的方法用于不同的方程其有效性也各不相同.第一积分法是把非线性偏微分方程转换为常微分方程,应用交换挟代数理论中的Hibert-Nullstensatz定理,以及整除定理,根据待定系数法来获得非线性偏微分方程精确解的一种很好的方法。本文利用第一积分法具体讨论了二维KdV-Burgers型方程更具一般形式的精确解。  相似文献   

3.
罗李平  欧阳自根 《科技通报》2007,23(1):11-14,21
讨论了一类具连续分布滞量的二阶非线性偏微分方程在Robin,Dirichlet边界条件下解的振动性,获得了解振动的若干充分条件.主要结果由实例加以阐述.  相似文献   

4.
《科技风》2021,(5)
对于一类(幂类非线性)抛物型偏微分方程,我们找到证明解非存在性的一种方法,并且把它扩展到n次偏微分方程上,与此同时,再用椭圆偏微分方程解的稳定条件,进一步限定这类抛物型偏微分方程解非存在性的条件。  相似文献   

5.
偏微分方程的平衡解稳定性分析在线性系统控制性能方面具有较好的应用性。通过研究偏微分方程的初值和稳定性问题,基于非线性动力系统在Cauchy核中的时滞性,进行偏微分方程的自适应李雅普诺夫指数泛函,对方程进行初值的二阶泰勒级数展开,采用共轭梯度法对偏微分方程求解平衡解,对平衡解进行边界条件分析,通过求解平衡解边界值,进行偏微分方程的平衡解稳定性证明。数学理论推导得出,该类偏微分方程的平衡解渐进稳定的,结论为稳定性控制提供理论基础。  相似文献   

6.
张毅 《科技通报》2011,27(3):311-316,320
研究广义Birkhoff系统Lie对称性的摄动与绝热不变量.首先,列写出广义Birkhoff系统的运动微分方程;其次,基于微分方程在无限小变换下的不变性,研究了广义Birkhoff系统的Lie对称性,给出了系统Lie对称性直接导致的Hojman守恒量,并进一步研究在小扰动作用下Lie对称性的摄动,得到了系统的Hojma...  相似文献   

7.
《中国科学基金》1994,8(4):273-273
中国科学院数学研究所丁伟岳研究员研究的非线性微分方程及其在几何中的应用,获得第六次(1993)国家自然科学奖二等奖。近10年来,丁伟岳在非线性微分方程的研究上取得了若干重要成果,特别是在把非线性偏微分方程的方法应用于微分几何中的问题方面做了许多工作,他的研究工作与国际上当前的主流课题紧密相关,方法上有所创新和发展,所获结果解决了一些众所关注的疑难问题。  相似文献   

8.
本文利用双曲函数展开法,在行波条件下,对五阶KdV方程,Fisher-Kolmogorov方程等两个非线性波动方程求解,并借助于计算机代数系统Maple,获得了这类偏微分方程的若干精确孤波解。  相似文献   

9.
本文用基于无源的方法对球杆系统进行动能和势能的修订来镇定系统,通过互联和阻尼配置的技术将系统的偏微分方程简化为简单的非线性常微分方程,就可以得到一个渐近稳定的控制器.  相似文献   

10.
分数阶偏微分方程的解析近似解的问题是当前数学领域中的一个研究热点,并且已经出现了一些比较有效的算法。本文借助数学软件Maple,将广义二维微分变换法应用于三种分数阶偏微分方程中,这三种分数阶偏微分方程分别为时间分数阶偏微分方程、空间分数阶偏微分方程和时空分数阶偏微分方程。通过详细的运算过程,能够获得这三类分数阶偏微分方程,验证了广义二维微分变换法在计算分数阶偏微分方程方面的有效性,从而表明了广义二维微分变换法能够计算比较复杂的分数阶偏微分方程。  相似文献   

11.
This study examined how students who had no prior experience with videoconferencing would react to the use of videoconferencing as an instructional medium. Students enrolled in seven different courses completed a questionnaire at the beginning of the semester and again at the end of the semester. Students at the origination and remote sites did not differ in their reactions toward videoconferencing but there was a significant difference for gender. Women reacted less favorably to videoconferencing. Compared to the beginning of the semester, students reported significantly less positive attitudes toward taking a course through videoconferencing at the end of the semester. There were no significant differences in students' attitudes toward videoconferencing across courses at the beginning of the semester but there were significant differences across the courses at the end of the semester. The results suggest the need for better preparation for both students and instructors.  相似文献   

12.
Ajoint study by Prof. ZHANG Zhibin from the CAS Institute of Zoology and his co-workers from Norway, US and Swiss have indicated that historical outbreaks of migratory locusts in China were associated with cold spells, suggesting that China's projected climate warming could decrease the pest's numbers. The study was published in Proceedings of theNational Academy of Sciences on 17 September, 2007.  相似文献   

13.
A computer-mediated group is a complex entity whose members exchange many types of information via multiple means of communication in pursuit of goals specific to their environment. Over time, they coordinate technical features of media with locally enacted use to achieve a viable working arrangement. To explore this complex interaction, a case study is presented of the social networks of interactions and media use among members of a class of computer-supported distance learners. Results show how group structures associated with project teams dominated who communicated with whom, about what, and via which media over the term, and how media came to occupy their own communication niches: Webboard for diffuse class-wide communication; Internet Relay Chat more to named others but still for general communication across the class; and e-mail primarily for intrateam communication. Face-to-face interaction, occurring only during a short on-campus session, appears to have had a catalytic effect on social and emotional exchanges. Results suggest the need to structure exchanges to balance class-wide sharing of ideas with subgroup interactions that facilitate project completion, and to provide media that support these two modes of interaction.  相似文献   

14.
Electronic data interchange (EDI) provides means for interorganizational communication, creates network externalities, requires an advanced information technology (IT) infrastructure, and relies on standards. In the diffusion of such innovations, institutional involvement is imperative. Such institutions contain governmental agencies, national and global standardization organizations, local government, and nonprofit private organizations like industry associations. The last type of organizations we call intermediating institutions. They intermediate or coordinate ("inscribe") the activities of a group of would-be adopters. Unfortunately, little is known of how these organizations shape the EDI diffusion trajectory. In this article we examine one specific type of intermediating organizations?industry associations?and how they advanced the EDI diffusion process in the grocery sectors of Hong Kong, Denmark and Finland. We identify six institutional measures, placed into a matrix formed by the mode of involvement (influence vs. regulation) and the type of diffusion force (supply push vs. demand pull), that can be mobilized to further the EDI diffusion. Industry associations were found to be active users of all these measures to varying degrees. Their role was critical especially in knowledge building, knowledge deployment, and standard setting. Furthermore, institutional involvement varied due to policy and cultural contingencies and power dependencies.  相似文献   

15.
The increasing prospects of digital piracy has prompted the perceived need by electronic publishers to adopt technical systems of protection, and governments to reform their copyright laws. This article is a preliminary study of the management of intellectual property by electronic publishers, defined as those involved in the production of online databases, and CD-ROMs. It focuses on three main issues: (1) how electronic publishers view the increasing threat of piracy; (2) the methods of protection employed to protect intellectual property in digital format; and (3) the importance of technological protection of intellectual property in electronic publications. The analysis is based on a sample of 23 UK electronic publishers. The interviews revealed an interesting assortment of protection methods and did not show that technological protection was a preferred way. Instead, the means of protection, in addition to copyright law, comprised niche markets, pricing, trust, bad publicity, and nontechnical and technical means.  相似文献   

16.
Long-standing conflict between domain name registrants and trademark holders prompted the Internet Corporation for Assigned Names and Numbers (ICANN) to create a global, mandatory arbitration procedure known as the Uniform Dispute Resolution Policy (UDRP). The UDRP has been used in 2166 cases involving 3938 domain names as of 1 November 2000. The policy gives the initiator of a complaint, generally a trademark holder, the right to choose which ICANN-accredited dispute resolution service provider (RSP) will handle the case. During the preparation of the UDRP,some feared that complainant selection would lead to "forum shopping" that might bias the results. This article performs a statistical assessment of the forum-shopping thesis and finds support for it. There are statistically significant differences in the various RSPs' propensity to take away names from defendants; there are also major differences in the number of cases brought to each RSP. RSPs who take away names have the larger share of cases. The study examines other variables that might explain differences in market share, such as price, the plaintiff's nationality, or the time taken to decide a case. It finds that nationality and time also are correlated with market share. The study concludes that shopping for a favorable outcome is an important factor in the UDRP.  相似文献   

17.
Prof. Raymond C.K. Chen, a neuropsychologist with the CAS Institute of Psychology, has made novel progress in his studies of schizophrenia. His work has been reported by a recent issue of Behavioural Neurology.  相似文献   

18.
<正>In Xishuangbanna,one of China’s most biodiverse regions,landscape has changed dramatically during the past three decades due to the conversion of tropical rainforest to rubber plantations.In steep areas,terraces are often constructed before planting rubber trees,which causes two important changes in the soil:the destabilization of soil in the bench terraces and the increased vulnerability of unvegetated riser faces to erosion.Few studies have documented the nature and intensity of erosion on bench terraces.Prof.LIU Wenjie and his colleagues from the Xishuangbanna Tropical Botanical Garden(XTBG)conducted a study in Menglun County(21°5′39″N,101°15′55″E),Xishuangbanna to evaluate the influence  相似文献   

19.
<正>Chinese scientists plan to apply Earth Observation technologies to protect the critically endangered wild camels(Camelus ferus).With the help of remote sensing,satellite positioning,geographical information system and wireless sensors networks,they will be able to access the distribution and population of the wild camels and protect their habitats.The project will be carried out by the International Research Center for Wild Camel Conservation,which was jointly established earlier this year by the Institute of Remote Sensing and Digital Earth(RADI)of the Chinese  相似文献   

20.
<正>The Paul Gerson Unna Research Group on Dermatogenomics was founded in October 2012 at the Partner Institute for Computational Biology.The ultimate goal of the group is to understand the biology of skin and skin appendages.  相似文献   

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